GeoTrack scooter needs, on average, $3,000$ tons of aluminum each week, with a standard deviation of $1200$ tons. The lead time to receive its orders is $10$ weeks. The holding cost for one ton of aluminum for one week is $$12.$ It operates with a $0\mathrm{.}99$ in$-$stock probability. Use Table$11\mathrm{.}5.$If its average inventory was $14,500$ tons, what would be its average holding cost per week?

Question $12$ options:

A$)$

$$134,700$

B$)$

$$125,800$

C$)$

$$145,000$

D$)$

$$174,000$ TABLE $11\mathrm{.}5$ In$-$Stock Probabilities and Matching Safety Factors, $\backslash (\backslash$boldsymbol$\{$z$\}\backslash )$